Oh OP, I hear you.
Mine was like that, learnt to walk at 11months, then came the climbing, then came the jumping.
Sleep pattern still to this day and he's 8 is 11pm - 5:30am. 6:30 if I'm lucky, but he wakes like zebbidy full of energy and ready to go for the day.
It's like trying to parent Spiderman on amphetamine on 6hours sleep a night.
He was eventually diagnosed with ADHD, but we don't medicate. We are just going to see if he begins to calm down a bit as a teen, which I am hoping, if not with his consent and discussion we can look at medicating.
Also school wise, if engaged and interested he will concentrate, he will also occasionally build Lego sets for 20/30minutes before getting bored and finding something else to do. Watching films or TV is not possible he gets distracted too easily.
Behaviour wise, he's ok, he can have the odd meltdown and his emotions are a bit mood swingy and overwhelming sometimes, but we cope. He's polite and well mannered and plays well with peers.
So I'm not overly concerned, but I'm that mum running around the park like Usain bolt whilst shouting "get down from there" whilst clutching caffeine.
I'm also a widow and a loan parent, so yeah it's a bit full on. But we manage.